OFFSET
0,2
COMMENTS
Hankel transform of A098264. The Hankel transform of e.g.f. Bessel_I(0,2*sqrt(5)x) and its k-th binomial transforms, are given by a(n). In general, the Hankel transform of e.g.f. Bessel_I(0,2*sqrt(m)x) and its binomial transforms is 2^n*m^C(n+1,2).
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..52
FORMULA
a(n) = 2^n*5^C(n+1,2).
MATHEMATICA
Table[2^n*5^Binomial[n+1, 2], {n, 0, 30}] (* G. C. Greubel, May 03 2018 *)
PROG
(PARI) for(n=0, 30, print1(2^n*5^binomial(n+1, 2), ", ")) \\ G. C. Greubel, May 03 2018
(Magma) [2^n*5^Binomial(n+1, 2): n in [0..30]]; // G. C. Greubel, May 03 2018
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Feb 08 2007
STATUS
approved